Taylor and Maclaurin Series Representations of the Nield-Kuznetsov Function of the First Kind-Reference-Cited by-同舟云学术

Taylor and Maclaurin Series Representations of the Nield-Kuznetsov Function of the First Kind

Published:2022-04-26 Issue: Volume:2 Page:38-47
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Author:

Alderson T. L.¹,Hamdan M. H.¹

Affiliation:

1. Department of Mathematics and Statistics University of New Brunswick 100 Tucker Park Road, Saint John, N.B., E2L 4L5 CANADA

Abstract

Taylor and Maclaurin series and polynomial approximations of the Standard Nield-Kuznetsov function of the first kind are obtained in this work. Convergence and error criteria are developed. The obtained series represent alternatives to the existing asymptotic and ascending series approximations of this integral function, and are expected to provide an efficient method of computation that is valid for all values of the argument.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference18 articles.

1. Hamdan, M.H., Alzahrani, S.M., Abu Zaytoon, M.S. and Jayyousi Dajani, S., Inhomogeneous Airy’s and Generalized Airy’s Equations with Initial and Boundary Conditions, Int. J. Circuits, Systems and Signal Processing, Vol. 15, 2021, pp. 1486-1496.

2. Hamdan, M.H., Jayyousi Dajani, S.and Abu Zaytoon, M,S., Nield-Kuznetsov Functions: Current Advances and New Results, Int. J. Circuits, Systems and Signal Processing, Vol. 15, 2021, pp. 1506- 1520.

3. Hamdan, M.H., Jayyousi Dajani, S., and Abu Zaytoon, M.S., Higher Derivatives and Polynomials of the Standard Nield-Kuznetsov Function of the First Kind, Int. J. Circuits, Systems and Signal Processing, Vol. 15, 2021, pp. 1737-1743.

4. Khanmamedov, A.Kh., Makhmudova1, M.G. and Gafarova, N.F., Special Solutions of the Stark Equation, Advanced Mathematical Models & Applications, Vol. 6(1), 2021, pp. 59-62.

5. Hamdan, M.H. and Kamel, M.T., On the Ni(x) Integral Function and its Application to the Airy's Non-homogeneous Equation, Applied Math. Comput. Vol. 21(17), 2011, pp. 7349-7360.

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